Amazon.com investigated an allegation that the head of its TV and film studio, Roy Price, made unwanted sexual remarks to Isa Hackett, an important producer of one of its highest-profile shows, according to Ms. Hackett, other people with knowledge of the inquiry and communications viewed by The Information.

Mr. Price allegedly made the remarks to Ms. Hackett, an executive producer of Amazon’s streaming video series “The Man in the High Castle,” in July 2015 after a day of promotional events for the show at Comic-Con in San Diego, the people say. Ms. Hackett is the daughter of author Philip K. Dick, whose novel inspired the series. The investigation began shortly afterwards.

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Questions about Amazon Studios’ culture are consequential given that the company has emerged as a major new streaming outlet and a big producer of films and TV shows under Mr. Price. JP Morgan analysts estimate that the streaming service will spend $4.5 billion on video programming in 2017. That trails Netflix’s $6 billion in spending last year, but dwarfs HBO’s budget of about $2 billion.